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Properties of far-field operators in acoustic scattering

✍ Scribed by A. Kirsch; G. C. Hsiao

Publisher
John Wiley and Sons
Year
1989
Tongue
English
Weight
616 KB
Volume
11
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Communicated by G. C. Hsiao

The far-field operator for an exterior boundary value problem for the Helmholtz equation maps the boundary data onto the far-field pattern of the solution. This paper computes the L2-adjoint of this operator for various choices of boundary conditions. In scattering theory the boundary data are given by the traces of plane waves. We characterize the closure of the span of the images of these plane waves under the far field operator.

Finally, the results are extended to more general topologies including Sobolev and Holder norms.

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